Projects per year
A BH(q,n) Butson-type Hadamard matrix H is an n×n matrix over the complex qth roots of unity that fulfils HH∗=nIn. It is well known that a BH(4,n) matrix can be used to construct a BH(2,2n) matrix, that is, a real Hadamard matrix. This method is here generalised to construct a BH(q,pn) matrix from a BH(pq,n) matrix, where q has at most two distinct prime divisors, one of them being p. Moreover, an algorithm for finding the domain of the mapping from its codomain in the case p=q=2 is developed and used to classify the BH(4,16) matrices from a classification of the BH(2,32) matrices.
|Number of pages||11|
|Publication status||Published - 1 Sep 2018|
|MoE publication type||A1 Journal article-refereed|
- Butson-type Hadamard matrix
- Complex matrix
- Monomial equivalence
FingerprintDive into the research topics of 'Mappings of Butson-type Hadamard matrices'. Together they form a unique fingerprint.
- 1 Finished
Construction and Classification of Discrete Mathematic Structures
Kokkala, J., Laaksonen, A., Östergård, P., Szollosi, F., Pöllänen, A., Heinlein, D. & Ganzhinov, M.
01/09/2015 → 31/08/2019
Project: Academy of Finland: Other research funding